High energy hadron colliders have been the tools for discovery at the highest mass scales of the energy frontier from the SppS, to the Tevatron and now the LHC. They will remain so, unchallenged for the foreseeable future. The discovery of the Higgs boson at the LHC, opens a new era for particle physics. After this discovery, understanding what is the origin of electro-weak symmetry breaking becomes the next key challenge for collider physics. This challenge can be expressed in terms of two questions: up to which level of precision does the Higgs boson behave like predicted by the SM? Where are the new particles that should solve the electro-weak (EW) naturalness problem and, possibly, offer some insight into the origin of dark matter, the matter-antimatter asymmetry, and neutrino masses? The approved CERN LHC programme, its future upgrade towards higher luminosities (HL-LHC), and the study of an LHC energy upgrade (HE-LHC) or of a new proton collider delivering collisions at a center of mass energy up to 100 TeV (VHE-LHC), are all essential components of this endeavor.The full exploitation of the LHC is the highest priority of the energy frontier, hadron collider program.LHC is expected to restart in Spring 2015 at center-of-mass energy of 13-14 TeV and its design luminosity of 10 34 cm −2 s −1 to be reached during 2015. After 2020, some critical components of the accelerator will reach the radiation damage limit and others will have reduced reliability, also due to radiation effects. Furthermore, as the statistical gain in running the accelerator without substantially increased luminosity will become marginal, the LHC will need a decisive increase of its luminosity [1]. This new phase of the LHC life, named the High Luminosity LHC (HL-LHC), will prepare the machine to attain the astonishing threshold of 3000 fb −1 of integrated luminosity during its first decade of operation [2]. High-luminosity offers the potential to increase the precision of several key LHC measurements, to uncover rare processes, and to guide and validate the progress in theoretical modeling, thus reducing the systematic uncertainties in the interpretation of the data. The project is now the first priority of Europe, as stated by the Strategy Update for High Energy Physics approved by the CERN Council.